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Finding the Fourth Proportional to 10,974.88, 16,471.55 and 10,282.90

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Solution

The fourth proportional to 10,974.88, 16,471.55 and 10,282.90 is: 15,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.88 : 16,471.55 = 10,282.90 : x
  2. Step 2: Convert to fraction form
    10,974.88/16,471.55 = 10,282.90/x
  3. Step 3: Cross multiply
    10,974.88x = 16,471.55 × 10,282.90
  4. Step 4: Simplify right side
    10,974.88x = 169,375,301.50
  5. Step 5: Solve for x
    x = 169,375,301.50/10,974.88
  6. Step 6: Final answer
    x = 15,433.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.